论文标题
对有限域上一般单数TODA系统解决方案解决方案解决方案的唯一性和唯一性
Non-degeneracy and uniqueness of solutions to general singular Toda systems on bounded domains
论文作者
论文摘要
在本说明中,我们显示了与一般简单谎言代数相关的TODA系统解决方案的非分类和唯一性结果,并在有界域上具有多个奇异源。该论点基于Cartan矩阵的光谱特性和线性化Liouville型问题的特征值分析。这似乎是这类问题的第一个结果,它涵盖了任何等级的所有谎言代数。
In this note we show non-degeneracy and uniqueness results for solutions of Toda systems associated to general simple Lie algebras with multiple singular sources on bounded domains. The argument is based on spectral properties of Cartan matrices and eigenvalue analysis of linearized Liouville-type problems. This seems to be the first result for this class of problems and it covers all the Lie algebras of any rank.